Practice Assignment #1 - Calculus II | MATH 152, Assignments of Calculus

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-1 dz —] y= : Qe+3)—4e—-1 4 Y2wytay=4r—1 > B. fle) = = v= 3 F y(2z + 3) ey + 3y . By 41 _ §e+1 Sytle4c—Qcy = 3yt+1=(4-Be => 2 = Tp, mterchange x andy: ¥ = 4 9r° 3a +1 go fe) =F >. Bw axa my -2A#m—-2 S Ya —Be¢vm—z Ss Har) £ flea), so fis 1, (b) f{6) = 2, 80 (2) = 6, Also f’(2) — —+—, wo g'(2) - —1_ _ _1 1 , 80 gf (2) = "Sa Tae vena °9)= Fy > Pe = Tam (hysve—2 = Par-t 5 wayYP+y, fe)? Interchange x and y: y = 2? + 2, So g(x) = 22 +2. Domain = [0, 00), range = [2, 00). @) g@z)=o7 +2 + g'ix)=2z = g(Q)a4 _ 1 " __ Lfe . _ 1 BL@)= Te F FO) =—ayinay PRectprocal Rule] = ~T ay ina)® Dom(f}={z|2>0 and ne #-l}={e|2>0 and zx FZ 1/e}=(0,1/e) UU /e, 0). Bet u = 24+ sinz. Thea du = cosa dz, so 1 f Mae = f Edun) +c = In 2+ sing] + C= In + sin2) +6 [since 2 +-sin x > O]. 2+ sinw uw ane ; dx = w[ln( + 2*)] = rin 10. Je Using cylindrical shells, we get Veo [=